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3.5 Linear Equation Word Problems (Due 12/4/24)

Last updated 8 months ago
18 questions

Essential Question:

How can understanding linear equations help us model and solve real-world problems?


Learning Goal:

Students will be able to interpret, set up, and solve real-world problems using linear equations, demonstrating how to represent relationships algebraically.


Show your work for credit

Day 1 12/3/24

Slope-Intercept Word Problems:Warm-up

Required
5

Find the part of the word problem that is repeating. This is your slope.

Evan is going to the county fair this weekend. The admission to the fair is $7.50 and the cost per ride is $2.50. If his parents gave him $40, write and solve a linear equation to find how many rides he can go on.
Required
5

Find the part of the word problem that is your initial amount. This is your starting point or y intercept.

Evan is going to the county fair this weekend. The admission to the fair is $7.50 and the cost per ride is $2.50. If his parents gave him $40, write and solve a linear equation to find how many rides he can go on.
Required
10
Evan is going to the county fair this weekend. The admission to the fair is $7.50 and the cost per ride is $2.50. If his parents gave him $40, write a linear equation in slope intercept form to find how many rides he can go on.

_______
Required
10
Evan is going to the county fair this weekend. The admission to the fair is $7.50 and the cost per ride is $2.50. If his parents gave him $40, Us the equation you created from the last problem to find out how many rides he can go on with the money his parents gave him.

How many rides can he go on with $40?
_______

Slope-intercept Word Problems

Required
20
While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour
in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. until 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

Slope-intercept equation that represents the word problem.
_______

Find the total cost to rent the kayak.
_______
Required
20
Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate
approximately $4,200 per year. Write and solve a linear equation to find how many years
until the truck is worth $5,135.

Slope-intercept equation that represents the word problem.
_______

Find how many years until the truck is worth $5,135.

_______
Required
20
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. If you have
$40, write and solve a linear equation to find the number of gallons of gas you can afford.

Slope-intercept equation that represents the word problem.
_______

Find the number of gallons of gas you can afford.
_______

Point-Slope Problems:Warm-up

Required
5

Find the part of the word problem that is repeating. (This is your slope.)

A construction company charges $18 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for 8 hours of service was $219. Write and solve a linear equation to find the one-time fee for the trash dumpster.
Required
5

Find one ordered pair that represents how much it costs to rent a dumpster for a certain amount of hours. (This is your point.)

A construction company charges $18 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for 8 hours of service was $219. Write and solve a linear equation to find the one-time fee for the trash dumpster.
Required
20
A construction company charges $18 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for 8 hours of service was $219. Write a linear equation in Point-Slope Form to find the one-time fee for the trash dumpster.

Point-Slope equation that represents the word problem.
_______
Required
20
A construction company charges $18 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for 8 hours of service was $219. Solve a linear equation to find the one-time fee for the trash dumpster.

Find the one-time fee for the trash dumpster.
_______
Required
20
At Eagle Bay, it costs $12 per hour to rent a canoe. Nate and his friends rented a canoe for
4 hours and paid $68. Write and solve a linear equation to find the cost to rent the canoe
for 7 hours.

Point-Slope equation that represents the word problem.
_______

Find the cost to rent the canoe for 7 hours.
_______
Required
20
A company offers premium cable for $39.95 per month plus a one-time setup fee. The
total cost for setup and 6 months of service is $264.70. Write and solve a linear equation to
find the total cost for 2 years of service.

Point-Slope equation that represents the word problem.
_______

Find the total cost for 2 years of service.
_______
Required
20
A home security company provides security systems for $5 per week, plus an installation
fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find
the cost of the installation fee.

Point-Slope equation that represents the word problem.
_______

Find the cost of the installation fee.
_______

Day 2 12/4/24

Two Points Problems--Warm-up

Required
5
To surf the internet for 15 minutes at an airport, it costs $4.05. For 40 minutes, it costs $5.80.

Represent the data from these two sentences as ordered pairs.

(15,_______ ) and (_______ , 5.8)
Required
10
To surf the internet for 15 minutes at an airport, it costs $4.05. For 40 minutes, it costs $5.80.

Find the rate per minute. (Remember rate means pattern or slope)
_______
Required
10
Water boils at 100° Celsius or 212° Fahrenheit. Water freezes at 0° Celsius or 32° Fahrenheit.
If the weather forecaster says it will be 25° Celsius today, find what Fahrenheit temperature this is.

Write a linear equation to find what Fahrenheit temperature this is. (Use point-slope to write our answer in slope-intercept form.)
_______

Find what Fahrenheit temperature is the same as 25° Celsius
_______
Required
10
The value of a car decreases at a constant rate. After 3 years, the value of the car is
$15,000. After 2 more years, the value of the car is $11,000. Write and solve a linear
equation to find the value of the car after 8 years.

Write a linear equation to find the value of the car. (Use point-slope)
_______

Find the value of the car after 8 years.
_______

How much did he pay for the car?
_______